During a temperature change from -5°F to 100°F, how much will Schedule 40 PVC expand over an 80-foot run?

During a temperature change from -5°F to 100°F, how much will Schedule 40 PVC expand over an 80-foot run?

• A. 2.408 inches
• B. 3.408 inches
• C. 4.508 inches
• D. 5.608 inches

Answer: (B)

To determine the amount Schedule 40 PVC will expand due to a temperature change, it's essential to use the linear expansion formula: \[ \Delta L = L_0 \cdot \alpha \cdot \Delta T \] Where: - \( \Delta L \) is the change in length, - \( L_0 \) is the original length, - \( \alpha \) is the coefficient of linear expansion (for PVC, approximately \( 3.0 \times 10^{-5} / °F \)), - \( \Delta T \) is the change in temperature. First, calculate the temperature change: \[ \Delta T = 100°F - (-5°F) = 100°F + 5°F = 105°F \] Next, calculate the original length: \[ L_0 = 80 \text{ feet} = 80 \times 12 \text{ inches} = 960 \text{ inches} \] Then, plug in these values into the expansion formula: \[ \Delta L = 960 \text{ inches} \times 3.0 \times 10^{-5} / °F \times 105°F \] Calculate:

To determine the amount Schedule 40 PVC will expand due to a temperature change, it's essential to use the linear expansion formula:

[

\Delta L = L_0 \cdot \alpha \cdot \Delta T

]

Where:

• ( \Delta L ) is the change in length,

• ( L_0 ) is the original length,

• ( \alpha ) is the coefficient of linear expansion (for PVC, approximately ( 3.0 \times 10^{-5} / °F )),

• ( \Delta T ) is the change in temperature.

First, calculate the temperature change:

[

\Delta T = 100°F - (-5°F) = 100°F + 5°F = 105°F

]

Next, calculate the original length:

[

L_0 = 80 \text{ feet} = 80 \times 12 \text{ inches} = 960 \text{ inches}

]

Then, plug in these values into the expansion formula:

[

\Delta L = 960 \text{ inches} \times 3.0 \times 10^{-5} / °F \times 105°F

]

Calculate: